What's the name of these two surfaces?

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enter image description here I've plot two implicit surfaces which are shown in the above, I only know their expression, but I don't know how to call them.

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The second one appears to belong to a family of surfaces defined by Banchoff based on the Chmutov surfaces of order $n$. Explicitly, the implicit equation is given by $$3+8(x^4+y^4+z^4) = 8(x^2+y^2+z^2).$$ The first one is not known to me. It appears to have a tetrahedral symmetry.